Michael and Rael gave away the same number of beads. Michael gave away
35 of his beads while Rael gave
59 of his beads away. Given that Michael had 18 beads less than Rael at first, how many beads did Michael have at first?
|
Michael |
Rael |
Before |
5x5 = 25 u |
9x3 = 27 u |
Change |
- 3x5 = - 15 u |
- 5x3 = - 15 u |
After |
2x5 = 10 u |
4x3 = 12 u |
The number of beads that Michael and Rael gave away is the same. Make the number of beads that Michael and Rael gave away the same. LCM of 3 and 5 is 15.
Number of beads that Michael had at first = 25 u
Number of beads that Rael had at first = 27 u
Number of beads that Michael had less than Rael at first
= 27 u - 25 u
= 2 u
2 u = 18
1 u = 18 ÷ 2 = 9
Number of beads that Michael had at first
= 25 u
= 25 x 9
= 225
Answer(s): 225